Math Is Sometimes Called The Science Of

Incidentally, When We're Faced With A "prove Or Disprove," We're Usually Better Off Trying First To Disprove With A Counterexample, For Two Reasons: A Disproof Is Potentially Easier (we Need Just One Counterexample); And Nitpicking Arouses Our Creative Juices. Even If The Given Assertion Is True, Our Search For A Counterexample Often Leads To A Proof, As Soon As We See Why A Counterexample Is Impossible. Besides, It's Healthy To Be Skeptical.

Juggling Is Sometimes Called The Art Of Controlling Patterns, Controlling Patterns In Time And Space.

Ab=1/4((a+b)^2-(a-b)^2) Is An Amazing Identity, And Unfortunately, I Have To Remind My Current Students How To Prove It.

Someone Has Said That All The Great Jugglers Are Dead.

Someone Has Remarked That 'an Ideal Math Talk Should Have One Proof And One Joke And They Should Not Be The Same'.